{"id":"vidhyamitra:city-day:phoenix:2102-10-12:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/phoenix/2102-10-12","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2102-10-12","date_display":"October 12, 2102 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2102,"month":10,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489083.770833,"kali_year":5204,"ahargana":1900618.2708,"sun":{"sidereal_longitude":172.0523,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":169.5666,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":357.5143,"elapsed_within_tithi_degrees":9.5143},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":169.5666,"elapsed_within_degrees":9.5666},"yoga":{"number":26,"name":"Indra","sum_longitude":341.6189},"karana":{"half_tithi_index":59,"name":"Nāga"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":2102,"month":10,"day":12,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489083.770833,"ahargana":1900618.2708,"kali_year":5204,"ayanamsa_lahiri":25.2887,"grahas":{"sun":{"sidereal_longitude":173.04265299999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"moon":{"sidereal_longitude":171.14425300000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false,"latitude":-4.3136},"mars":{"sidereal_longitude":184.099653,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":165.976453,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":233.892153,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":174.766753,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":202.59155299999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":276.0976,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":96.0976,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2102,"month":10,"day":12,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489083.770833,"kali_year":5204,"ahargana":1900618.2708,"sun":{"sidereal_longitude":172.0523,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":169.5666,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":357.5143,"elapsed_within_tithi_degrees":9.5143},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":169.5666,"elapsed_within_degrees":9.5666},"yoga":{"number":26,"name":"Indra","sum_longitude":341.6189},"karana":{"half_tithi_index":59,"name":"Nāga"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.314,"elongation":2.486},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.314,"opposition_distance":177.514}},"eclipse_window_40days":[]},"city":{"slug":"phoenix","name":"Phoenix, USA","lat":33.4484,"lon":-112.074,"tz_offset_hours":-7,"country":"US","tier":"diaspora"},"tier2":{"city":{"slug":"phoenix","name":"Phoenix, USA","lat":33.4484,"lon":-112.074,"tz_offset_hours":-7,"country":"US","tier":"diaspora"},"sunriseLocal":"06:29","sunsetLocal":"17:59","solarNoonLocal":"12:14","dayLengthHours":11.497521006053155,"dayLengthDisplay":"11 Hours 29 Mins 51 Secs","nightLengthDisplay":"12 Hours 30 Mins 09 Secs","moonriseLocal":"06:21","moonsetLocal":"17:52","rahuKala":{"name":"Rāhu Kāla","start":"13:40","end":"15:07","startHours":13.671799010936976,"endHours":15.108989136693621,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:29","end":"07:55","startHours":6.485848382153755,"endHours":7.923038507910399,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:22","end":"10:48","startHours":9.360228633667043,"endHours":10.797418759423689,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:10","end":"09:33","startHours":9.168603283566156,"endHours":9.551853983767929,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:58","end":"07:16","startHours":6.96491175740597,"endHours":7.271512317567387,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:51","end":"12:37","startHours":11.85135818497856,"endHours":12.617859585382105,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:57","end":"05:43","startHours":4.952845581346668,"endHours":5.719346981750211,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:32","end":"06:29","startHours":5.527721631649325,"endHours":6.485848382153755,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"14:55","startHours":14.150862386189191,"endHours":14.917363786592734,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:47","end":"18:11","startHours":17.78336938820691,"endHours":18.18336938820691,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:59","end":"18:28","startHours":17.98336938820691,"endHours":18.462432763459123,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:44","end":"19:29","startHours":17.73336938820691,"endHours":19.48336938820691,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:51","end":"00:37","startHours":23.85135818497856,"endHours":24.617859585382103,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:29","end":"07:55","startHours":6.485848382153755,"endHours":7.923038507910399,"quality":"auspicious"},{"name":"Roga","start":"07:55","end":"09:22","startHours":7.923038507910399,"endHours":9.360228633667043,"quality":"inauspicious"},{"name":"Udveg","start":"09:22","end":"10:48","startHours":9.360228633667043,"endHours":10.797418759423689,"quality":"inauspicious"},{"name":"Chala","start":"10:48","end":"12:14","startHours":10.797418759423689,"endHours":12.234608885180332,"quality":"neutral"},{"name":"Labha","start":"12:14","end":"13:40","startHours":12.234608885180332,"endHours":13.671799010936976,"quality":"auspicious"},{"name":"Amṛta","start":"13:40","end":"15:07","startHours":13.671799010936976,"endHours":15.108989136693621,"quality":"auspicious"},{"name":"Kāla","start":"15:07","end":"16:33","startHours":15.108989136693621,"endHours":16.546179262450266,"quality":"inauspicious"},{"name":"Śubha","start":"16:33","end":"17:59","startHours":16.546179262450266,"endHours":17.98336938820691,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:59","end":"19:33","startHours":17.98336938820691,"endHours":19.546179262450266,"quality":"auspicious"},{"name":"Kāla","start":"19:33","end":"21:07","startHours":19.546179262450266,"endHours":21.108989136693623,"quality":"inauspicious"},{"name":"Śubha","start":"21:07","end":"22:40","startHours":21.108989136693623,"endHours":22.671799010936976,"quality":"auspicious"},{"name":"Roga","start":"22:40","end":"00:14","startHours":22.671799010936976,"endHours":24.234608885180332,"quality":"inauspicious"},{"name":"Udveg","start":"00:14","end":"01:48","startHours":24.234608885180332,"endHours":25.79741875942369,"quality":"inauspicious"},{"name":"Chala","start":"01:48","end":"03:22","startHours":25.79741875942369,"endHours":27.36022863366704,"quality":"neutral"},{"name":"Labha","start":"03:22","end":"04:55","startHours":27.36022863366704,"endHours":28.923038507910398,"quality":"auspicious"},{"name":"Amṛta","start":"04:55","end":"06:29","startHours":28.923038507910398,"endHours":30.485848382153755,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:29","end":"07:29","startHours":6.485848382153755,"endHours":7.485848382153755,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:29","end":"08:29","startHours":7.485848382153755,"endHours":8.485848382153755,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:29","end":"09:29","startHours":8.485848382153755,"endHours":9.485848382153755,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:29","end":"10:29","startHours":9.485848382153755,"endHours":10.485848382153755,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:29","end":"11:29","startHours":10.485848382153755,"endHours":11.485848382153755,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:29","end":"12:29","startHours":11.485848382153755,"endHours":12.485848382153755,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:29","end":"13:29","startHours":12.485848382153755,"endHours":13.485848382153755,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:29","end":"14:29","startHours":13.485848382153755,"endHours":14.485848382153755,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:29","end":"15:29","startHours":14.485848382153755,"endHours":15.485848382153755,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:29","end":"16:29","startHours":15.485848382153755,"endHours":16.485848382153755,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:29","end":"17:29","startHours":16.485848382153755,"endHours":17.485848382153755,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:29","end":"18:29","startHours":17.485848382153755,"endHours":18.485848382153755,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:29","end":"19:29","startHours":18.485848382153755,"endHours":19.485848382153755,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:29","end":"20:29","startHours":19.485848382153755,"endHours":20.485848382153755,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:29","end":"21:29","startHours":20.485848382153755,"endHours":21.485848382153755,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:29","end":"22:29","startHours":21.485848382153755,"endHours":22.485848382153755,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:29","end":"23:29","startHours":22.485848382153755,"endHours":23.485848382153755,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:29","end":"00:29","startHours":23.485848382153755,"endHours":24.485848382153755,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:29","end":"01:29","startHours":24.485848382153755,"endHours":25.485848382153755,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:29","end":"02:29","startHours":25.485848382153755,"endHours":26.485848382153755,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:29","end":"03:29","startHours":26.485848382153755,"endHours":27.485848382153755,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:29","end":"04:29","startHours":27.485848382153755,"endHours":28.485848382153755,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:29","end":"05:29","startHours":28.485848382153755,"endHours":29.485848382153755,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:29","end":"06:29","startHours":29.485848382153755,"endHours":30.485848382153755,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North-West","rahuVasa":"North-West","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-7.186046214695481,"eotMinutes":14.219466889179907,"ayanamsa":25.2887}},"calendars":{"vikram_samvat":2159,"vikram_samvatsara":"Yuva","saka_samvat":2024,"saka_samvatsara":"Dundubhi","bengali_samvat":1509,"malayalam_era":1278,"nanakshahi_year":633,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Amāvasyā · Vikram 2159 Yuva · Śaka 2024 Dundubhi"},"festivals":[{"id":"mahalaya-amavasya","name":"Mahālaya Amāvasyā (Sarvapitṛ Amāvasyā)","name_sanskrit":"महालय अमावस्या","tradition":"Pan-Hindu","associated_deity":"Pitṛ-deva","significance":"Final day of Pitṛ-Pakṣa; tarpaṇa for all ancestors.","vrata":true,"detection":{"tithi_number":30,"tithi_paksha":"Kṛṣṇa","lunar_month":"Āśvina"},"precedence":1}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā","url":"/day/-3137-10-20","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"phoenix"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga October 12, 2102 CE · Phoenix, USA · Vidhyamitra","description":"October 12, 2102 CE for Phoenix, USA: Kṛṣṇa Amāvasyā, sūryodaya 06:29, sūryāsta 17:59.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/phoenix/2102-10-12","hreflang_alternates":{"en":"https://vidhyamitra.com/city/phoenix/2102-10-12","sa":"https://sa.vidhyamitra.com/city/phoenix/2102-10-12","hi":"https://hi.vidhyamitra.com/city/phoenix/2102-10-12","x-default":"https://vidhyamitra.com/city/phoenix/2102-10-12"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T20:37:16.600Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-06-01T20:37:16.600Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T20:37:16.600Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}